The constitutive modeling of several natural and engineered materials, such as woods, rocks, bones, and fiber-reinforced composites, requires the development of anisotropic laws. In classical continuum mechanics (CCM) it is well know that anisotropic material behavior can be modeled through different components of the elasticity tensor. Nonetheless, CCM, which is based on differential equations, requires special treatment at discontinuities such as cracks. On the other hand, Peridynamics (PD) [1] provides a nonlocal reformulation of the equations of motion in an integral form, allowing for a mathematically consistent way of modeling of discontinuities. An ordinary state-based peridynamic model capable of reproducing the complete elasticity tensor of classical continuum mechanics for anisotropic materials was developed in [2]. This formulation employs two independent micromoduli (stiffnesses associated to long-range interactions between material points), which are defined as functions of orientation to capture direction-dependent material behavior. To obtain stability of the PD material model, these functions must be chosen to yield positive values of micromoduli for any direction. The micromoduli are calibrated directly from the classical elastic constants by analyzing the response of an infinite body subjected to homogeneous deformation. This PD formulation has been validated by several numerical examples for 2D and 3D cases, even in presence of large deformations. In this work, we discuss the stability of the PD anisotropic material model, the possibility of extending this formulation to multi-physics problems, and the potential applications to fracture problems. REFERENCES [1] S.A. Silling. Reformulation of elasticity theory for discontinuities and long-range forces. Journal of the Mechanics and Physics of Solids, Vol. 48, pp. 1526-1535, 2000. [2] F. Scabbia, M. Zaccariotto and U. Galvanetto. A general ordinary state-based peridynamic formulation for anisotropic materials. Computer Methods in Applied Mechanics and Engineering, Vol. 427, 117059, 2024.